Consider the function f (x)=x1=5(x4). This function
has two critical numbers A < B
Find A
and B
For each of the following intervals, tell whether f (x) is increasing
(type in INC) or decreasing (type in DEC).
(-inf;A]:
[A;B]:
[B;inf)
The critical number A is a relative (type in MAX,
MIN or NEITHER) and the critical number B is a relative
(type in MAX, MIN or NEITHER)
There are two numbers C < D where either f 00(x) = 0 or f 00(x)
is undefined.
Find C and D
Finally for each of the following intervals, tell whether f (x) is
concave up (type in CU) or concave down (type in CD).
(-inf;C):
(C;D)
(D;inf)

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